1) infinite series
无穷级数
1.
Application of Monte Carlo method to infinite series;
蒙特卡罗方法在无穷级数中的应用
2.
A quantum mechanics method of the sum of infinite series;
无穷级数求和的一种量子力学解法
3.
A note on convergence of infinite series in a Banach space;
关于Banach空间中无穷级数收敛性的注记
2) infinity series
无穷级数
1.
The main purpose of this paper is using the elementary method and Euler product formula to study the properties of the infinity series involving the Smarandache-Type function,and obtain its two interesting identities.
研究了一类包含Smarandache-Type可乘函数Fk(n)与Gk(n)的无穷级数及其算术性质,并利用初等方法及欧拉积公式得到了该级数的两个有趣的恒等式,从而推广了关于Smarandache-Type可乘函数的算术性质。
3) n grade infinite number
n级无穷数
1.
In the paper,by dint of geometrical meaning for infinite integral we bourgeon thought of adding new number:first we introduce n(n∈N)grade infinite number;then we also define insert number of n grade infinite number between n grade infinite number and n+1 grade infinite number.
借助于无穷积分的几何意义,萌发了增添新数的思想:首先引入了n(n∈N)级无穷数的概念;然后在n级与n+1级无穷数间又定义了n级无穷数的插入数。
4) Infinite order exponential series
无穷级指数级数
5) infinite order Taylor series
无穷级Taylor级数
1.
Then the infinite order Taylor series in the unit circle is studied,and the relationship between the or-der on the type-function and the coefficients of Taylor series are obtained.
定义了关于单位圆内Taylor级数的型函数和型函数的级,研究了单位圆内无穷级Taylor级数,得到了其关于型函数U(1/1-r)的级与系数之间的几种关系。
补充资料：弱无穷维空间
弱无穷维空间
weakly infinite-dimensional space
弱无穷维空间〔we刹y词训te~‘n犯‘田‘匆，ce;cJIa606ec劝。e，。oMepooen一ocTpaHc，」 一个拓扑空间(topologjcal sPace)X，使得对其闭子集偶对的任意无穷系(A，，B‘)， A，自B，=沪，i=1，2，…，存在(A与B;之间的)分划(Partition)C，，满足自c=必.不是弱无穷维的无穷维空间称为强无穷维(strongly inl训te dinle比ional)空间.弱无穷维空间也称为A弱无穷维(A一weakly沉肋ited由℃nsional)空间.若在上述定义中，进一步要求c，的某有限子族有空的交集，就得出S弱无穷维空间(S一weak】y顾-nite .dinlensio耐sPace)的概念.【补注】除上述外，A弱就是AneKcaHJIpoB弱(Akk-san山{。vweakly)，S弱就是CM即HoB弱(Snurnovweakly).还有一种已经弃之不用的概念Hurewicz弱无穷维空间(Hurewicz一wea脚infin讹一山住r朋io耐space)，见综述[AI]， 为避免“无穷维空间”这个词的混乱，空间X要求可度量化，见【A2].
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条